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1.6 C: Coordinate geometry in the (x, y) plane

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Question 79

The sketch shows circle C C\,C with centre P(6.5,7)P(6.5, 7)P(6.5,7). The line l l\,l with equation y=12x\displaystyle y = \frac{1}{2}xy=21​x is a tangent to C C\,C at point Q(8,4)Q(8, 4)Q(8,4).

a.

Find an equation for CCC.

[4]
b.

The line with equation y=12x+k\displaystyle y = \frac{1}{2}x + ky=21​x+k, where k k\,k is a non-zero constant, is also a tangent to CCC. Find the value of kkk.

[4]

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

Practise AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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